Question

consider the points q(23,48) and r(7,62). what is the component form of qr?
(-16,110)
(-16,14)
(30,-14)
(30,110)

Explanation:

Step1: Find the x - component

The formula for the x - component of the vector \(\overrightarrow{QR}\) is \(x_{R}-x_{Q}\). Given \(x_{Q} = 23\) and \(x_{R}=7\), we have \(7 - 23=-16\).

Step2: Find the y - component

The formula for the y - component of the vector \(\overrightarrow{QR}\) is \(y_{R}-y_{Q}\). Given \(y_{Q} = 48\) and \(y_{R}=62\), we have \(62 - 48 = 14\).

Answer:

\(\langle-16,14
angle\) (corresponding to the second option)